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How to Play Nonograms

Nonograms (also known as Picross, Griddlers, or Paint by Numbers) are logic puzzles where you reveal a hidden picture by filling cells in a grid. This guide will teach you everything you need to know.

What is a Nonogram?

A nonogram is a grid puzzle where each cell can be either filled (black) or empty (white). Your goal is to determine which cells should be filled based on numerical clues provided for each row and column.

Unlike crosswords or Sudoku, nonograms don't give you letters or digits to place. Instead, you work with visual patterns, using logic to deduce which cells form the hidden image.

Understanding Clues

The numbers along the top and left side of the grid are your clues. Each sequence of numbers describes groups of consecutive filled cells in that row or column.

Key Rules for Clues:

  • 1.

    Order matters. The groups appear in the order listed, from left to right (for rows) or top to bottom (for columns).

  • 2.

    At least one gap. There must be at least one empty cell between consecutive groups.

  • 3.

    Exact counts. A clue of "3" means exactly three consecutive filled cells, no more, no less.

  • 4.

    Empty rows/columns. If a clue is "0" or absent, the entire row or column is empty.

Example: A row with clues "2 1 3" means:

  • First, a group of 2 consecutive filled cells

  • Then at least one empty cell

  • Then a single filled cell

  • Then at least one empty cell

  • Finally, a group of 3 consecutive filled cells

Cell States: Filled, Empty, Unknown

Every cell starts as unknown (blank). As you solve the puzzle, you'll mark cells as either:

Filled (Black)

These cells are part of the hidden picture. Mark them when you're certain they must be filled based on the clues.

Empty (Crossed)

These cells are definitely not part of the picture. Marking them with a cross helps you see the remaining space and avoid mistakes.

Pro tip: Always mark cells you know are empty. This dramatically speeds up solving by making the remaining possibilities clearer.

Worked Example: Solving a 5Γ—5 Nonogram

Let's solve a simple puzzle step by step to see how the logic works. Here's our starting grid with clues:

5 1 1 1 5 1 1 1 ─────────── 5 | | 1 1 | | 1 1 | | 1 1 | | 5 | | ───────────

Step 1: Fill Complete Lines

Row 1 has a clue of "5" in a 5-cell row, so every cell must be filled. Row 5 also has a clue of "5", so it's completely filled too.

5 1 1 1 5 1 1 1 ─────────── 5 | β–  β–  β–  β–  β–  | 1 1 | | 1 1 | | 1 1 | | 5 | β–  β–  β–  β–  β–  | ───────────

Step 2: Fill Complete Columns

Column 1 has a clue of "5", so the whole column is filled. Column 5 also has "5", so it's completely filled. The full border is now determined.

5 1 1 1 5 1 1 1 ─────────── 5 | β–  β–  β–  β–  β–  | 1 1 | β–  β–  | 1 1 | β–  β–  | 1 1 | β–  β–  | 5 | β–  β–  β–  β–  β–  | ───────────

Step 3: Deduce Interior Cells

Row 2 has a clue of "1 1". Columns 1 and 5 already filled its two end cells (two filled cells total = the clue requirement), so cells 2, 3, 4 must be empty.

The same reasoning applies to rows 3 and 4: each has "1 1", with both filled cells already placed at the ends, so the middle three cells must be empty.

5 1 1 1 5 1 1 1 ─────────── 5 | β–  β–  β–  β–  β–  | 1 1 | β–  Β· Β· Β· β–  | 1 1 | β–  Β· Β· Β· β–  | 1 1 | β–  Β· Β· Β· β–  | 5 | β–  β–  β–  β–  β–  | ───────────

Note: β–  = filled, Β· = empty

Step 4: Solution Complete

The finished grid is a hollow box. The key lesson: full-line clues give an instant foothold, and column fills then force the interior of each row.

This example shows the power of combining constraints from both rows and columns. A cell that satisfies a row clue also contributes to its column clue, and vice versa. Start with the most constrained lines, then use that information to make progress on intersecting lines.

Essential Solving Techniques

While the example above covers basic logic, larger puzzles require specific techniques. Here are the core methods:

1. Overlap / Forced Cells (Level 0)

When a group is large relative to the line length, some cells are filled regardless of where the group starts. This is your primary tool for making initial progress.

Learn this technique β†’

2. Using Crossed-Out Cells (Level 1)

Marked empty cells create boundaries that limit where groups can fit. This technique helps you narrow down possibilities and find new forced cells.

Learn this technique β†’

3. Combining Rows and Columns (Level 2)

Information flows both ways. A filled cell from a row analysis becomes a constraint for the column, and vice versa. Alternate between directions to maximize progress.

Learn this technique β†’

4. Edge Logic & Advanced Reasoning (Level 3)

When simpler techniques stall, you need edge case reasoning and lookahead. This involves considering what happens if a cell is filled vs. empty and checking for contradictions.

Learn this technique β†’

Tips for Success

  • β€’

    Start with constrained lines

    Look for rows or columns with large clues relative to their length. A clue of "8" in a 10-cell line gives you immediate information.

  • β€’

    Always mark empty cells

    Don't just focus on filled cells. Marking empties prevents mistakes and reveals structure.

  • β€’

    Work in passes

    Scan through all rows, then all columns, then repeat. Each pass reveals new information.

  • β€’

    Trust the logic

    Every well-formed nonogram has exactly one solution, and it can be found through pure logicβ€”no guessing required.

Frequently Asked Questions

Can I guess in Nonograms?

No guessing is needed. Every well-formed Nonogram has exactly one solution reachable through pure logic. If you're stuck, revisit earlier techniques or look for cells you marked as uncertain.

Should I mark empty cells?

Yes! Marking cells you know are empty (crossed out) is essential. It helps you see the remaining space clearly and prevents mistakes. Professional solvers mark empties aggressively.

What's the best technique for beginners?

Start with the Overlap technique (forced cells). Look for rows or columns with large clues relative to their length. These give you immediate, guaranteed progress.

How do I know if I made a mistake?

If you reach a point where a row or column's clues cannot be satisfied by any arrangement of remaining cells, you made an error earlier. Use undo to backtrack and reconsider.

Continue Your Nonogram Journey